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### Course: Digital SAT Math > Unit 3

Lesson 8: Probability and relative frequency: foundations# Table data — Harder example

Watch Sal work through a harder Table data problem.

## Want to join the conversation?

- this question was actually pretty easy, compared to the other hard examples(60 votes)
- why is it so easy in videos and practice but never on the real thing(33 votes)
- That is a closely held secret of the council of test makers.(27 votes)

- why do we multiply 1/4 by 5?(5 votes)
- You don't actually have to find 20. If 5 is 1/4 then that means that 3/4 is 3 5s. Then add the 5s together and then add 15 and 4.(21 votes)

- im confused. if 1/4 of her fav paintings are blue, and she has 24 fav paintings total, then wouldn't 6 paintings be blue? and wouldn't the answer then be 18?(4 votes)
- 1/4 of her fav
paintings are blue. Does that help you find the answer now?**large**(9 votes)

- This table didn't make sense. You can look at it from left to right too. If you do so, the answer will be totally different.(4 votes)
- If you solve it as whole you will see there are 0 small paintings(7 votes)

- i still have problem in selecting the denominator....... can someone pls help me out?(4 votes)
- You don't actually have to solve for 20. If 5 is 1/4 then that means that 3/4 is 3 5s. Then add the 5s together and then add 15 and 4.(6 votes)

- If you solve the whole table you would find that the table equals to 25 instead of 24. Can someone please clarify.(3 votes)
- How exactly did you solve the whole table? I don't really see any way to get 25(5 votes)

- in confused. if 1/4 of her fav paintings are blue, and she has 24 fav paintings total, then wouldn't 6 paintings be blue? and wouldn't the answer then be 18?(1 vote)
- 1/4 of her favorite
*large*paintings are blue. You might have missed that when reading the question.(3 votes)

- I love probabilities, they are so fun and easy! :)(2 votes)
- It can get super complicated(1 vote)

- For those who are confused by the table:

20 large paintings + 4 small paintings = 24 total paintings.

Since there's already 4 small red paintings, there are 0 small blue paintings.

19 red-dominant paintings + 5 blue-dominant paintings = 24 total paintings.(2 votes)

## Video transcript

- [Instructor] Margo classified
her favorite paintings hanging in a museum by both
size and dominant color. The results are in the table above. We have this table. So we have dominant color. We have large size, small size. We have a bunch of blanks here. I'm guessing we're gonna have
to fill some of these out. Margo found that, okay
this is interesting, Margo found that 1/4 of her favorite large paintings were blue. How many of Margo's
favorite paintings have red as the dominant color? So we wanna figure out how many of her favorite paintings, whether it's large or small,
have red as the dominant color. So we wanna figure out the total number that have red as the dominant color. And so to figure this out,
I think we're gonna have to figure out some of these other blanks. And let's start with the information that they actually gave us. Margo found that 1/4 of her
favorite large paintings, so this is her favorite large paintings. This right over here
is the total favorite. This is the total
favorite large paintings. 1/4 of this, 1/4 of her favorite
large paintings are blue. So 1/4 of this gives us five. So 1/4 of what is equal to five, or five times four is what? Well, this just needs to be 20. Five out of 20 is the same thing as 1/4. And if we know that, then we can start to fill in some of these other blanks. So if we have a total
of 20 large paintings and five are blue, then 15
are going to have to be red, because the red large ones
plus the blue large ones is going to add up to 20. Now, if you have 15 red large and if you have four red small, the total number of red
is 15 plus four is 19. So 19 of Margo's favorite
paintings have red as the dominant color, 19.